## Advances and applications in continuous location and related problems

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Gázquez Torres, Ricardo##### Editorial

Universidad de Granada

##### Director

Blanco Izquierdo, Víctor##### Departamento

Universidad de Granada. Programa de Doctorado en Matemáticas##### Materia

Continuous location Advances Problems

##### Date

2022##### Fecha lectura

2022-05-30##### Referencia bibliográfica

Gázquez Torres, Ricardo. Advances and applications in continuous location and related problems. Granada: Universidad de Granada, 2022. [http://hdl.handle.net/10481/75448]

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Tesis Univ. Granada.##### Abstract

This thesis focuses on the family of the continuous location problems. A location problem
arises whenever a question of where to locate something is raised. This kind of problems
belongs to one of the research areas of Operations Research which has had a greatest
development since the 1960s, the Location Science. This discipline is mainly defined by
the facility location problems which consist of finding the optimal locations for a set of
facilities with respect a set of demand nodes and a given objective function.
There are many classifications of location problems, one of them is the one that considers
the location space as a classifier. In a discrete location problem, facilities can be
located in a finite set of potential locations; the continuous space consider the space where
the problem is defined and there are infinite positions to locate; and when we consider a
network as a location space, facilities can be located at the nodes or at the arcs of the
network. The use of each space will be given by the real application of the problem. We
usually use the discrete case when we locate physical services such as schools or ATMs;
the continuous one when the location can be more flexible, as in routers or sensors; and
the network when the elements to be located are used in applications with networks such
as bus stops or gas stations.